“If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is.” — John von Neumann

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Welcome to my blog! I am a visiting scholar at the CUNY Graduate Center. I am a co-organizer of the CUNY Set Theory Seminar. My most recent CV is here.
On my blog, you can learn about my research, find course materials from the classes I taught, and read my thoughts on mathematics, education, and the universe.

Visit Cantor’s Attic, the wiki for mathematical infinity in general and large cardinals in particular, founded by Joel Hamkins and myself. The site, currently in the early stages of development, aspires to become an extensive, detailed repository of current knowledge on large cardinal theory.

@AsafKaragila I should have done a better job stating my question clearly. I wanted to know precisely what Yair answered: whether there are models where $\text{cf}(j(\kappa))$ is smaller than the size of $j(\kappa)$. Your interpretation of the question is very interesting as well, but I think much harder to answer.